Abstract
Seed segmentation methods are highly regarded for their effectiveness in processing complex images, user-friendliness, and compatibility with graph-based representations. However, these methods often depend on intricate computational tools, leading to issues such as poor image contour adherence and incomplete seed propagation. To address these limitations, this paper proposes an interactive framework that integrates global seed information with sparse local linear reconstruction regularization (GSSR). In this framework, a Gaussian mixture model is firstly employed to construct a flow of global seed information, establishing connections between pixel points and yielding more complete segmented objects. Additionally, the \(L_{p}(0 < p \le 1)\) norm is utilized to constrain the sparse local reconstruction term, facilitating the generation of sparse boundaries. An iterative process based on the Alternating Direction Method of Multipliers (ADMM) is developed to solve the \(L_1\) regularization term, which is then generalized for the \(L_p\) problem through reweighting. We conduct a comprehensive comparison on the BSD dataset, CVC-ClinicDB datasets and two publicly available MSRC datasets with different labeling schemes. Extensive experimental validation demonstrates that the proposed method outperforms existing results.The source code and datasets are openly available at: https://github.com/choppy-water/GSSR.















Similar content being viewed by others
Data availibility
The datasets used in this paper are public datasets.
References
Chen X, Pan L (2018) A survey of graph cuts/graph search based medical image segmentation. IEEE Rev Biomed Eng 11:112–124
Zhang Y, Borse S, Cai H, Porikli F (2022) Auxadapt: Stable and efficient test-time adaptation for temporally consistent video semantic segmentation. In: Proceedings of the IEEE/CVF winter conference on applications of computer vision, pp. 2339–2348
Redmon J, Divvala S, Girshick R, Farhadi A (2016) You only look once: unified, real-time object detection. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp. 779–788
Kolmogorov V, Zabin R (2004) What energy functions can be minimized via graph cuts? IEEE Trans Pattern Anal Mach Intell 26(2):147–159
Shi J, Malik J (2000) Normalized cuts and image segmentation. IEEE Trans Pattern Anal Mach Intell 22(8):888–905
Levin A, Rav-Acha A, Lischinski D (2008) Spectral matting. IEEE Trans Pattern Anal Mach Intell 30(10):1699–1712
Nascimento MC, De Carvalho AC (2011) Spectral methods for graph clustering-a survey. Eur J Oper Res 211(2):221–231
Xia S, Peng D, Meng D, Zhang C, Wang G, Giem E, Wei W, Chen Z (2020) Ball \( k \) k-means: fast adaptive clustering with no bounds. IEEE Trans Pattern Anal Mach Intell 44(1):87–99
Krishna K, Murty MN (1999) Genetic k-means algorithm. IEEE Trans Syst, Man, Cybernet Part B 29(3):433–439
Bond SR, Hoeffler A, Temple JR (2001) Gmm estimation of empirical growth models. Available at SSRN 290522
Koutis I, Miller GL, Tolliver D (2011) Combinatorial preconditioners and multilevel solvers for problems in computer vision and image processing. Comput Vis Image Underst 115(12):1638–1646
Grady L (2006) Random walks for image segmentation. IEEE Trans Pattern Anal Mach Intell 28(11):1768–1783
Wang L, Li M, Fang X, Nappi M, Wan S (2022) Improving random walker segmentation using a nonlocal bipartite graph. Biomed Signal Process Control 71:103154
Cousty J, Bertrand G, Najman L, Couprie M (2008) Watershed cuts: minimum spanning forests and the drop of water principle. IEEE Trans Pattern Anal Mach Intell 31(8):1362–1374
Boykov YY, Jolly M-P (2001) Interactive graph cuts for optimal boundary & region segmentation of objects in nd images. In: Proceedings eighth IEEE international conference on computer vision. ICCV 2001. IEEE, vol. 1, pp. 105–112
Boykov Y, Funka-Lea G (2006) Graph cuts and efficient nd image segmentation. Int J Comput Vision 70(2):109–131
Henzinger M, Noe A, Schulz C, Strash D (2018) Practical minimum cut algorithms. J Exp Algorithmics (JEA) 23:1–22
Karger DR (2000) Minimum cuts in near-linear time. J ACM (JACM) 47(1):46–76
Rother C, Kolmogorov V, Blake A (2004) Grabcut interactive foreground extraction using iterated graph cuts. ACM Trans Graph (TOG) 23(3):309–314
Tang M, Gorelick L, Veksler O, Boykov Y (2013) Grabcut in one cut. In: Proceedings of the IEEE international conference on computer vision, pp. 1769–1776
Peng Z, Qu S, Li Q (2019) Interactive image segmentation using geodesic appearance overlap graph cut. Signal Process: Image Commun 78:159–170
Kim TH, Lee KM, Lee SU (2008) Generative image segmentation using random walks with restart. In: Computer Vision–ECCV 2008: 10th European conference on computer vision, marseille, france, October 12–18, 2008, proceedings, part iii 10. Springer, pp. 264–275
Yu W, McCann J (2016) Random walk with restart over dynamic graphs. In: 2016 IEEE 16th international conference on data mining (icdm). IEEE, pp. 589–598
Lee C, Jang W-D, Sim J-Y, Kim C-S (2015) Multiple random walkers and their application to image cosegmentation. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp. 3837–3845
Shen J, Du Y, Wang W, Li X (2014) Lazy random walks for superpixel segmentation. IEEE Trans Image Process 23(4):1451–1462
Deng M, Zhou Z, Liu G, Zeng D, Zhang M (2023) Adaptive active contour model based on local bias field estimation and saliency. J Intell Fuzzy Syst, pp 1–15
Bampis CG, Maragos P, Bovik AC (2017) Graph-driven diffusion and random walk schemes for image segmentation. IEEE Trans Image Process 26(1):35–50
Bampis C.G, Maragos P (2015) Unifying the random walker algorithm and the sir model for graph clustering and image segmentation. In: 2015 IEEE international conference on image processing (ICIP). IEEE, pp. 2265–2269
Ruziska FM, Tomé T, de Oliveira MJ (2017) Susceptible-infected-recovered model with recurrent infection. Physica A 467:21–29
Casaca W, Gois JP, Batagelo HC, Taubin G, Nonato LG (2021) Laplacian coordinates: theory and methods for seeded image segmentation. IEEE Trans Pattern Anal Mach Intell 43:2665–2681
Adams R, Bischof L (1994) Seeded region growing. IEEE Trans Pattern Anal Mach Intell 16(6):641–647
Ning J, Zhang L, Zhang D, Wu C (2010) Interactive image segmentation by maximal similarity based region merging. Pattern Recogn 43(2):445–456
Comaniciu D, Meer P (2002) Mean shift: a robust approach toward feature space analysis. IEEE Trans Pattern Anal Mach Intell 24(5):603–619
Kailath T (1967) The divergence and bhattacharyya distance measures in signal selection. IEEE Trans Commun Technol 15(1):52–60
Shan Y, Ma Y, Liao Y, Huang H, Wang B (2023) Interactive image segmentation based on multi-layer random forest classifiers. Multimed Tools Appl 82(15):22469–22495
Xu N, Price B, Cohen S, Yang J, Huang T (2016) Deep interactive object selection. In: 2016 IEEE conference on computer vision and pattern recognition (CVPR)
Liew J, Wei Y, Xiong W, Ong S.-H, Feng J (2017) Regional interactive image segmentation networks. In: 2017 IEEE international conference on computer vision (ICCV). IEEE, pp. 2746–2754
Li Z, Chen Q, Koltun V (2018) Interactive image segmentation with latent diversity. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp. 577–585
Jang W-D, Kim C-S (2019) Interactive image segmentation via backpropagating refinement scheme. In: Proceedings of the IEEE/CVF conference on computer vision and pattern recognition, pp. 5297–5306
Sofiiuk K, Petrov IA, Konushin A (2022) Reviving iterative training with mask guidance for interactive segmentation. In: 2022 IEEE international conference on image processing (ICIP). IEEE, pp. 3141–3145
Vezhnevets V, Konouchine V (2005) Growcut: Interactive multi-label nd image segmentation by cellular automata. In: Proc. of Graphicon. Citeseer, vol. 1, pp. 150–156
Bühler T, Hein M (2009) Spectral clustering based on the graph p-laplacian. In: Proceedings of the 26th annual international conference on machine learning, pp. 81–88
Yu Y, Fang C, Liao Z (2015) Piecewise flat embedding for image segmentation. In: Proceedings of the IEEE international conference on computer vision, pp. 1368–1376
Daubechies I, DeVore R, Fornasier M, Güntürk CS (2010) Iteratively reweighted least squares minimization for sparse recovery. Commun Pure Appl Math: J Issued Courant Instit Math Sci 63(1):1–38
Candes EJ, Wakin MB, Boyd SP (2008) Enhancing sparsity by reweighted \(l_1\) minimization. J Fourier Anal Appl 14:877–905
Otsu N et al (1975) A threshold selection method from gray-level histograms. Automatica 11(285–296):23–27
Unnikrishnan R, Pantofaru C, Hebert M (2007) Toward objective evaluation of image segmentation algorithms. IEEE Trans Pattern Anal Mach Intell 29(6):929–944
Meilǎ M (2005) Comparing clusterings: an axiomatic view. In: Proceedings of the 22nd international conference on machine learning, pp. 577–584
Unnikrishnan R, Pantofaru C, Hebert M (2005) A measure for objective evaluation of image segmentation algorithms. In: 2005 IEEE computer society conference on computer vision and pattern recognition (CVPR’05)-Workshops. IEEE, pp. 34–34
McGuinness K, O’connor NE (2010) A comparative evaluation of interactive segmentation algorithms. Pattern Recogn 43(2):434–444
Bernal J, Sánchez FJ, Fernández-Esparrach G, Gil D, Rodríguez C, Vilariño F (2015) Wm-dova maps for accurate polyp highlighting in colonoscopy: validation vs. saliency maps from physicians. Comput Med Imaging Graph 43:99–111
Andrade F, Carrera EV (2015) Supervised evaluation of seed-based interactive image segmentation algorithms. In: 2015 20th symposium on signal processing, images and computer vision (STSIVA). IEEE, pp. 1–7
Estrada FJ, Jepson AD (2009) Benchmarking image segmentation algorithms. Int J Comput Vision 85:167–181
Tibshirani RJ, Efron B (1993) An introduction to the bootstrap. Monogr Stat Appl Prob 57(1):1–436
Acknowledgements
This research is supported by the Humanities and Social Sciences Research Program of Chongqing Municipal Education Commission (Grant No. 23SKGH263), the Science and Technology Research Program of Chongqing Municipal Education Commission (No. KJQN202201148), and the Funding Achievements of the Action Plan for High Quality Development of Graduate Education at Chongqing University of Technology (Grant No. gzlcx20243180).
Author information
Authors and Affiliations
Contributions
All authors contributed to the study design. J.L.: Conceptualization, Resources, Writing - review & editing. Y.L.: Methodology, Software, Validation and Writing - original draft. K.Z.: Data Curation. S.C.: Visualization. Q.L.:Data Curation.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Long, J., Liu, Y., Zhang, K. et al. Interactive image segmentation combining global seeding and sparse local reconstruction. Pattern Anal Applic 28, 55 (2025). https://doi.org/10.1007/s10044-025-01432-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10044-025-01432-x